A thin-tall Boolean algebra which is isomorphic to each of its uncountable subalgebras

DOI10.1016/j.topol.2011.05.003zbMath1229.54045OpenAlexW1985054942MaRDI QIDQ554408

Robert Bonnet, Matatyahu Rubin

Publication date: 4 August 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.05.003

zbMATH Keywords

rigid Boolean algebrathin-tall scattered spacethin-tall superatomic Boolean algebra

Mathematics Subject Classification ID

Consistency and independence results (03E35) Stone spaces (Boolean spaces) and related structures (06E15) Scattered spaces (54G12) Other combinatorial set theory (03E05)

Related Items (1)

Maps of Ostaszewski and related spaces

Cites Work

• Thin-tall Boolean algebras and their automorphism groups
• On HCO spaces. An uncountable compact \(T_ 2\) space, different from \(\aleph_ 1+1\), which is homeomorphic to each of its uncountable closed subspaces
• A space homeomorphic to each uncountable closed subspace under CH
• On well-generated Boolean algebras
• More homogeneous almost disjoint families.
• Maps of Ostaszewski and related spaces
• A classification of CO spaces which are continuous images of compact ordered spaces
• A Boolean Algebra with Few Subalgebras, Interval Boolean Algebras and Retractiveness
• The Isomorphism Problem of Superatomic Boolean Algebras
• CH with no Ostaszewski spaces

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